Physics Problems

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  1. A stone is thrown off the top of a building from a height of 45.0 m. The stone has a launch of angle of 62.5 degrees and a speed of 31.5 m/s.

    • How long is the stone in flight?
    • How far from the base of the building does it travel?
    • What is its speed just before it hits the ground?

  2. A student is swimming across a stream with velocity \(\vec{V}_s\) = 6 m/s [E]. The water is moving downstream with velocity
    \(\vec{V}_w\) = 4 m/s [S]. What is the velocity of the student relative to another student sitting on the west bank of the river?

    • How long does it take to cross the river?
    • How far downstream does the swimmer go?

  3. As shown in the figure, two blocks with masses m and M (M>m) are pushed by a force F in both Case I and Case II. The surface is horizontal and frictionless. Let R1 be the force that m exerts on M in Case I and RII be the force that m exerts on M in Case II. Which of the following statements is true?

    Physics Text Books

    • R1 = R2 = 0
    • R1 = R2 and is not equal to zero or F
    • R1 = R2 = F
    • R1
    • R1 > R2

  4. Two boxes with masses 17 kg and 15 kg are connected by a light string that passes over a frictionless pulley of negligible mass as shown in the figure below. The surfaces of the planes are frictionless. The blocks are released from rest. T1 and T2 are the tensions in the strings. Which of the following statements is correct?

    Physics Free Body Diagram

    • The 15 kg block accelerates down the plane
    • The 17 kg block accelerates down the plane
    • Both blocks remain at rest
    • T1 > T2
    • T1

  5. An Object with mass m and initial velocity v is brought to rest by a constant force F acting for a time t and through a distance d. Possible expressions for the magnitude of the force F are:

    i. \(\frac{mv^2}{2d}\)    ii.\(\frac{2md}{t^2}\)    iii.\(\frac{mv}{t}\)

    • ii only
    • iii only
    • i and ii only
    • ii and iii only
    • i, ii, and iii

  6. A toy car of mass 6 kg moving in a straight path, experiences a net force given by the function F = -3t. At time t=0, the car has a velocity of 4 m/s in the positive direction and is located +8 m from the origin. The car will come instantaneously to rest at time t equal to

    • \(\frac{2}{3}\) s
    • \(\sqrt{\frac{4}{3}}\) s
    • \(\sqrt{\frac{8}{3}}\) s
    • \(\sqrt{\frac{8}{1}}\) s
    • \(4\) s

  7. A block of mass M1 on a horizontal table is connected to a hanging block of mass M2 by a string that passes over a pulley, as shown in the figure below. The acceleration of the blocks is 0.6g. Assume that friction and the mass of the string are negligible. The tension T in the string is

    physics GRE

    • zero
    • 0.4 M2g
    • 0.6 M2g
    • 1.0 M2g
    • 1.6 M2g

  8. In the situation above, what is the ratio of the masses?

    • 0.67
    • 1.0
    • 1.4
    • 1.5
    • 1.6

  9. Hercules and Carlos horizontally push in the same direction on a 1200 kg crate. Hercules pushes with a force of 500 N and Carlos pushes with a force of 300 N. If a frictional force provides 200 N of resistance, what is the acceleration of the crate?

    • 1.3 m/s\(^2\)
    • 1.0 m/s\(^2\)
    • 0.87 m/s\(^2\)
    • 0.75 m/s\(^2\)
    • 0.5 m/s\(^2\)

  10. Two sleds are attached by a rope and are being pulled by an applied force, F\(_a\) = 100 N. There is 40 N of frictional force opposing movement on each sled. Draw a free body diagram to help find:

    physics newtons third law force of friction problem

    • Find the acceleration of the sleds.
    • Find the tension in the rope.

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