A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 5.0 m/s 2 . Secret agent Austin Powers jumps on just as the helicopter lifts off the ground. After the two men struggle for 10.0 s. Powers shuts off the engine and steps out of the helicopter. Assume that the helicopter is in free fall after its engine is shut off. and ignore the effects of air resistance, (a) What is the maximum height above ground reached by the helicopter’, (b) Powers deploys a jet pack strapped on his back 7.0 s after leaving the helicopter, and then he has a constant downward acceleration with magnitude 2.0 m/s 2 . How far is Powers above the ground when the helicopter crashes into the ground?
A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 5.0 m/s 2 . Secret agent Austin Powers jumps on just as the helicopter lifts off the ground. After the two men struggle for 10.0 s. Powers shuts off the engine and steps out of the helicopter. Assume that the helicopter is in free fall after its engine is shut off. and ignore the effects of air resistance, (a) What is the maximum height above ground reached by the helicopter’, (b) Powers deploys a jet pack strapped on his back 7.0 s after leaving the helicopter, and then he has a constant downward acceleration with magnitude 2.0 m/s 2 . How far is Powers above the ground when the helicopter crashes into the ground?
A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 5.0 m/s2. Secret agent Austin Powers jumps on just as the helicopter lifts off the ground. After the two men struggle for 10.0 s. Powers shuts off the engine and steps out of the helicopter. Assume that the helicopter is in free fall after its engine is shut off. and ignore the effects of air resistance, (a) What is the maximum height above ground reached by the helicopter’, (b) Powers deploys a jet pack strapped on his back 7.0 s after leaving the helicopter, and then he has a constant downward acceleration with magnitude 2.0 m/s2. How far is Powers above the ground when the helicopter crashes into the ground?
A block of mass m₁ = 10.0 kg is connected to a block of mass m₂ = 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle 0 = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
m/s
Vm1
Vm2
m/s
mi
m2
k
i
Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance yo, and then helps to
support any additional load. Consider a leaf spring constant of 5.45 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y = 0.500 m.
Truck body
Dyo
Axle
(a) What is the compression of the leaf spring for a load of 4.90 × 105 N?
m
(b) How much work is done compressing the springs?
]
A skier of mass 75 kg is pulled up a slope by a motor-driven cable.
(a) How much work is required to pull him 50 m up a 30° slope (assumed frictionless) at a constant speed of 2.8 m/s?
KJ
(b) What power (expressed in hp) must a motor have to perform this task?
hp
Chapter 2 Solutions
University Physics with Modern Physics (14th Edition)
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