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Q1. A 2.0x10^-4 kg spider is suspended from the thin strand of spider web. The greatest tension the strand can withstand is 2.0x10^-3 N. If the spider was to ascend strand from rest going to 1.0m/s in 4.0s with steady acceleration, would the strand be able to support the motion?
Q2. The drawing shows two identical systems of objects; each consists of the same three small balls connected by massless rods. In both systems axis is perpendicular to the page, but it is located at a different place. The same force of magnitude F is applied to the same ball in each system (see the drawing). The masses of the balls are m1 = 9.80 kg, m2 = 6.50 kg, and m3 = 7.70 kg. The magnitude of the force is F = 519 N. (a) for each of the two systems, determine the moment of inertia about the given axis of rotation. (b) Calculate the torque (magnitude and direction) acting on each system. (c) Both systems start from rest, and the direction of the force moves with the system and always points along the 4.00 m rod. What is the angular velocity of each system after 5.28 s?
A conducting rectangular loop of mass M, resistance R, and dimensions w by l falls from rest into a magnetic field. All through the time interval before the top edge of the loop reaches the field, the loop approaches a terminal speed vT.
A 100 arrow is shot vertically from a bow whose efficient spring constant is 500. If the bow is drawn 75 before shooting the arrow, to what height does the arrow rise .
The rock strikes the ground a horizontal distance of 44 m from the base of the building. Assume that the ground is level and that the side of the building is vertical. How long did the rock take to hit the ground? Give your answer in seconds to two d..
The pilot of an aircraft wishes to fly due west in a 37.70 km/h wind blowing toward the south. The speed of the aircraft in the absence of the wind is 191 km/h.
FInd the quantities and volume of liquid in each tank and predicting the damage or danger caused in the process.
Assume that, when Hiawatha aims vertically, his arrow reaches a maximum height of 20 m. Use this fact to find the initial speed u with which Hiawatha can launch the arrow vertically.
A 20.0 kg wood ball hangs from a 1.3 m long wire. The maximum tension the wire can withstand without breaking is 300 N. A 0.70 kg projectile travelling horizontally hits and embeds itself in the wood ball.
A cart carrying a vertical missile launcher moves horizontally at the constant velocity of 30.1 to the right. It launches a rocket vertically upward. The missile has an initial vertical velocity of 40.33 relative to the cart.
A dockworker applies a constant horizontal force of 84.0\({\rm N}\) to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves a distance 12.5\({\rm m}\) in a time 4.80\({\rm s}\)
A 2.30-kg object attached to a spring moves without friction (b = 0) and is driven by an external force given by the expression F = 3.40sin (2pi*t), where F is in newtons and t is in seconds. The force constant of the spring is 35.0 N/m.
A highway curve with a radius of 555 m is banked properly for the car travelling 150 km/h. If a 1650 kg Porshe 928 S rounds the curve at 220 km/h, how much sideways force must the tires exert against the road if the car does not skid.
A gymnast of mass 56.0 {rm kg} hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81 {rm m/s^2} for the acceleration of gravity.
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