Problem 1:A round with a mass ofmm=11.5g is fired out of a gun that has lengthLL=0.92m. The round spendstt=0.19s in the barrel. Part (a)Calculate the magnitude of the round's acceleration, in meters per second squared, as it travels through the gun's barrel. You may assume the acceleration is constant throughout the motion.

Part (b)What is the numerical value of the net force in newtons acting on the round?

Problem 8:A toy van rolls down an incline at a constant velocity. The van's mass ism=1.4kg and the ramp makes an angle of=16degrees with respect to the horizontal. Assume the rolling resistance is negligible

Part (a)What is the magnitude of the van's acceleration, a in m/s²?

Part (b)What is the numeric value for the sum of the forces in thex-direction, F_x, in Newtons? Part (c)Assuming the van experiences only air resistance in opposition to its motion, with magnitudeF_r. Write an expression for the sum of the forces in thex-direction using the acceleration due to gravity,g, and the variables provided. Part (d)What is the magnitude of the force caused by air resistance,F_rin Newtons? (Maintain the assumption that the van's velocity is constant.)

Problem 9:A bicycle and rider with massmrolls down a hill at constant velocity under the influence of gravity with negligible rolling resistance. The hill makes an angle of=19degrees with respect to the horizontal. The force of air resistance, termed "drag", has a magnitude ofF_d=95N. Assume that the x-direction is parallel to the slope of the hill and the y-direction is perpendicular to the hill as shown. Randomized Variables

=19 F_d=95N

Part (a)What is the sum of the forces in the y direction, F_yin Newtons? Part (b)Input an expression for the sum of the forces in the x-direction, F_x, in terms of the quantities given and variables available in the palette.

Part (c)Using the information above, what is the total mass of the bike and ridermin kg?

Problem 10:A chandelier is suspended by two identical, vertical chains side by side. The chandelier's mass ism=5.3kg.

Part (a)If the tension in one chain is represented by T, write an expression for the magnitude of the tension in terms of m and g, the gravitational acceleration on the Earth's surface.

Part (b)What is the tension in one chain,T, in newtons? Part (c)If the tops of the chains are separated so that the chains are no longer vertical, does the tension increase or decrease?

Problem 11:A75kg sprinter starts a race with an acceleration of5.8m/s². Randomized Variables

m=75kg a=5.8m/s²

what is the magnitude of the net external force on him in N?

Problem 12:In the figure, the net external force on the 24 kg mower is known to be 51 N. Randomized Variablesf=26N v=1.3m/s

Part (a)If the force of friction opposing the motion is 26 N, what force F (in newtons) is the person exerting on the mower?

Part (b)Suppose the mower is moving at 1.3 m/s when the force F is removed. How far will the mower go before stopping in m?