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Vladimir79 [104]
4 years ago
13

Fast Bullets A rifle with that shoots bullets at 420 m/s shoots a bullet at a target 49.8 m away. How high above the target must

the rifle barrel be pointed to ensure that the bullet will hit the target?
Physics
1 answer:
Nezavi [6.7K]4 years ago
8 0

Answer:

0.08°

Explanation:

velocity of projection, u = 420 m/s

Horizontal range, R = 49.8 m

Let the angle of projection is θ.

Use the formula for the horizontal range.

R=\frac{u^{2}Sin2\theta }{g}

49.8=\frac{420^{2}Sin2\theta }{9.8}

Sin 2θ = .0027

2θ = 0.1585

θ = 0.08°

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Explanation:

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Let's now analyze each statement:

a The kinetic energy of an object always has a positive value. --> TRUE. In fact, the mass of the object is always positive, and the term v^2 is always positive as well, so the kinetic energy is always positive.

b The kinetic energy of an object is directly proportional to its speed. --> FALSE. Looking at the formula, we see that the kinetic energy is proportional to the square of the speed, K\propto v^2.

c The kinetic energy of an object is expressed in watts. --> FALSE. Watts is the units for measuring power, while the kinetic energy is measured in Joules, the units for the energy.

d The kinetic energy of an object is a quantitative measure of its inertia. --> FALSE. The inertia of an object depends only on its mass, not on its speed.

e The kinetic energy of an object is always equal to the object’s potential energy. --> FALSE. The potential energy depends on the altitude from the ground, not from the speed, so the two energies can be different.

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