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Q1. A projectile is shot from the edge of a cliff 126m above ground level with an initial speed of 65.7 m/s at an angle of 37.0° with the horizontal. (a) Find out the time taken by the projectile to hit point P at ground level, (b) find out the range X of the projectile as measured from the base of the cliff. At the instant just before the projectile hits point P, find (c) horizontal and the vertical components of its velocity, (d) magnitude of the velocity, and (e) the angle made by the velocity vector with the horizontal. (J) Find the maximum height above the cliff top reached by the projectile.
Q2. A helicopter is rising at 4.60 m/s when a bag of its cargo is dropped. The bag falls for 2.50 s. (suppose that the positive direction is upward.)
(a) What is the bag's velocity?
(b) How far has the bag fallen?
Two spherical conductors are connected by a long conducting wire and a total charge of 20.0 μC is placed on this combination. One sphere has a radius of 4.0 cm while the other has a radius of 6.0 cm. Explain the reasoning of the steps that allow you ..
Define the frequency components of an AM signal and draw the AM signal for the given modulation index.
Quadrupole moments in the shell model
The wind blows with a force of 425N north on a sail boat, while the water exerts a force of 325N west on the sailboat. Find out the magnitude and direction of the net external force on the sailboat.
A thin, flexible metal plate attached at one end to the platform, can be used to measure mass. When the free end of the plate is pulled down and released, it vibrates in simple harmonic motion with a period that depends on the mass attached to the pl..
Mike pulls a sled across level snow with force of 235 N along a rope that is 35.5° above the horizontal. If the sled moved the distance of 75.0 m, how much work did Mike do.
Write down an expression for the mass of the nucleus
An ice block is pushed horizontally on a frictionless surface with initial velocity v0. At some point, it comes to the nearly semicircular bump with a radius R=0.42m and the height h=0.33m above the ground.
What current is required in the windings of a long solenoid that has 1710 turns uniformly dispersed over a length of 0.547 m in order to produce a magnetic field of magnitude 0.0002 T at the center of the solenoid.
A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second, and three corners from the third. Rank the 3 plates according to the x coordinate of their center of mass, from smallest to large..
A 0.120 kg block on a horizontal frictionless surface is attached to the spring whose force constant is 572 N/m. The block is pulled from its equilibrium position at x = 0 m to a displacement x = +0.080 m and is released from rest. The block after th..
A 79.0 kg man is riding in a shopping mall. The escalator moves the man at constant velocity from ground level to the floor above, the vertical height of 4.40m.What is the work completed on the man by the gravitational force and the escalator.
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