Exam 4: Force and Newtons Laws of Motion

In the figure, an airport luggage-carrying train with a tractor $T$ is pulling three luggage carts, $M_{1}, M_{2}$ , and $M_{3}$ with an acceleration of $1.2 \mathrm{~m} / \mathrm{s}^{2}$ . If $\mathrm{T}=300 \mathrm{~kg}, \mathrm{M}_{1}=200 \mathrm{~kg}, \mathrm{M}_{2}=100 \mathrm{~kg}$ , and $\mathrm{M}_{3}=100 \mathrm{~kg}$ , and air resistance is negligible, then the tension in the connection between cart $\mathrm{M}_{2}$ and cart $\mathrm{M}_{1}$ is

A mass sits at rest on top of a table. Which two forces that are not action-reaction partners are equal and opposite?

If an object of mass $20 \mathrm{~kg}$ on Earth is sent to the Moon, it will have a mass of

The Moon (mass $7.35 \times 10^{22} \mathrm{~kg}$ ) is orbiting about the Earth (mass $5.98 \times 10^{24} \mathrm{~kg}$ ) at a radius of $3.85 \times 10^{8}$ meters. The magnitude of the force of gravity on the Moon due to the Earth is $\left(G=6.67 \times 10^{-11} \mathrm{~N} \mathrm{~m}^{2} / \mathrm{kg}^{2}\right)$

A $78 \mathrm{~kg}$ object is travelling due north at $15.2 \mathrm{~m} / \mathrm{s}$ when it begins to experience a constant net force of 1.72 $\mathrm{kN}$ toward the south. What will its velocity be $0.75 \mathrm{~s}$ later?

In the figure, an airport luggage-carrying train with a tractor $T$ is pulling three luggage carts, $M_{1}, M_{2}$ , and $M_{3}$ with an acceleration of $1.0 \mathrm{~m} / \mathrm{s}^{2}$ . If $\mathrm{T}=300 \mathrm{~kg}, \mathrm{M}_{1}=200 \mathrm{~kg}, \mathrm{M}_{2}=100 \mathrm{~kg}$ , and $\mathrm{M}_{3}=100 \mathrm{~kg}$ , and air resistance is negligible, then the tension in the connection between cart $\mathrm{M}_{2}$ and cart $\mathrm{M}_{3}$ is

What is the gravitational force between two $5.00 \mathrm{~kg}$ masses that are $10.0 \mathrm{~cm}$ apart from center to center? (G $=6.67 \times 10^{-11} \mathrm{~N} \mathrm{~m}^{2} / \mathrm{kg}^{2}$ )

A boy with a mass of $55 \mathrm{~kg}$ walks into a room and sees a girl $8.0 \mathrm{~m}$ in front of him who has a mass of $40 \mathrm{~kg}$ . What is his gravitational attraction to her?

The Moon (mass $7.35 \times 10^{22} \mathrm{~kg}$ ) orbits the Earth (mass $5.98 \times 10^{24} \mathrm{~kg}$ ) at a distance of $3.85 \times 10^{8}$ meters. Meanwhile, the Earth orbits the Sun (mass $1.99 \times 1030 \mathrm{~kg}$ ) at a distance of $1.50 \times 1011$ meters. When the Moon is directly between the Earth and the Sun, what is the gravitational field at the location of the Moon due to the Earth and the Sun combined? $\left(\mathrm{G}=6.67 \times 10-11 \mathrm{~N} \mathrm{~m}^{2} / \mathrm{kg}^{2}\right)$

Three objects experience interactions. Object $\mathrm{A}$ has mass, object $\mathrm{B}$ has electrical charge, and object $\mathrm{C}$ has both mass and electrical charge. Which of the following statements is true?

A tractor $T$ is pulling two trailers, $M_{1}$ and $M_{2}$ , with a constant acceleration. Thas a mass of $200 \mathrm{~kg}, M_{1}$ has a mass of $100 \mathrm{~kg}$ , and $\mathrm{M}_{2}$ has a mass of $150 \mathrm{~kg}$ . If the forward acceleration is $0.60 \mathrm{~m} / \mathrm{s}^{2}$ , and air resistance is negligible, then the horizontal force on $\mathrm{M}_{2}$ due to the attachment to $\mathrm{M}_{1}$ is

Two masses are connected by a string which passes over a pulley with negligible mass and friction. One mass hangs vertically and one mass slides on a 30.0 degree incline. The inclined surface has a coefficient of kinetic friction of 0.200 . The vertically hanging mass is $6.00 \mathrm{~kg}$ and the mass on the incline is $4.00 \mathrm{~kg}$ . The magnitude of the acceleration of the $4.00 \mathrm{~kg}$ mass is (the initial velocity of the $4.00 \mathrm{~kg}$ mass is down the incline)

Two masses are suspended by a cord that passes over a pulley with negligible mass. The cord also has negligible mass. One of the masses, $\mathrm{m}_{1}$ , has a mass of $5.0 \mathrm{~kg}$ and the other mass, $\mathrm{m}_{2}$ , has a mass of $3.0 \mathrm{~kg}$ . The acceleration of $\mathrm{m}_{1}$ is

A tractor $T$ is pulling two trailers, $M_{1}$ and $M_{2}$ , with a constant acceleration. Thas a mass of $200 \mathrm{~kg}, M_{1}$ has a mass of $100 \mathrm{~kg}$ , and $\mathrm{M}_{2}$ has a mass of $150 \mathrm{~kg}$ . If the forward acceleration is $0.60 \mathrm{~m} / \mathrm{s}^{2}$ , and air resistance is negligible, then the horizontal force on the tractor due to the attachment to $\mathrm{M}_{1}$ is

The weight of a $1.00 \mathrm{~kg}$ object on the surface of the Moon is ( $\mathrm{G}=6.67 \times 10-11 \mathrm{~N} \mathrm{~m} 2 / \mathrm{kg}^{2}$ , the radius of the Moon is $1.74 \times 10^{6} \mathrm{~m}$ , and the mass of the Moon is $7.35 \times 10^{22} \mathrm{~kg}$ )

What is the gravitational field strength on the surface of the Earth? $\left(\mathrm{G}=6.67 \times 10-11 \mathrm{~N} \mathrm{~m}^{2} / \mathrm{kg}^{2}\right.$ , the mass of the Earth is $5.98 \times 10^{24} \mathrm{~kg}$ , and the radius of the Earth is $6.38 \times 10^{6} \mathrm{~m}$ .)

What is the gravitational field strength at the location of a satellite that is orbiting the Earth at an altitude of $5,000 \mathrm{~km} ?\left(\mathrm{G}=6.67 \times 10^{-11} \mathrm{~N} \mathrm{~m}^{2} / \mathrm{kg}^{2}\right.$ , the mass of the Earth is $5.98 \times 10^{24} \mathrm{~kg}$ , and the radius of the Earth is $6.38 \times 106 \mathrm{~m}$ .)

Two masses are connected by a string which passes over a pulley with negligible mass and friction. One mass hangs vertically and one mass slides on a horizontal surface. The horizontal surface has a coefficient of kinetic friction of 0.200 . The vertically hanging mass is $3.00 \mathrm{~kg}$ and the mass on the horizontal surface is $3.00 \mathrm{~kg}$ . The magnitude of the acceleration of the vertically hanging mass is (the initial velocity of the horizontal mass is to the right)

In the figure, an airport luggage carrying train with a tractor $T$ is pulling three luggage carts, $M_{1}, M_{2}$ , and $M_{3}$ , with constant velocity of $4.5 \mathrm{~m} / \mathrm{s}$ . If $T=300 \mathrm{~kg}, M_{1}=200 \mathrm{~kg}, M_{2}=100 \mathrm{~kg}$ , and $M_{3}=100 \mathrm{~kg}$ (there is no friction), then the force in the connection between the tractor $\mathrm{T}$ and cart $\mathrm{M}_{1}$ is

The Moon (mass $7.35 \times 1022 \mathrm{~kg}$ ) orbits the Earth (mass $5.98 \times 10^{24} \mathrm{~kg}$ ) at a distance of $3.85 \times 10^{8}$ meters. Meanwhile, the Earth orbits the Sun (mass $1.99 \times 1030 \mathrm{~kg}$ ) at a distance of $1.50 \times 1011$ meters. When the Moon is directly between the Earth and the Sun, what is the gravitational force on the Moon due to the Earth and the Sun combined? ( $\mathrm{G}=6.67 \times 10-11 \mathrm{~N} \mathrm{~m}^{2} / \mathrm{kg}^{2}$ )