An object is projected upward from the surface of the earth with an initial speed of 3.7 km/s. find the maximum height it reache
1 answer:
The kinetic energy of the object just after it starts its motion from the Earth surface is
where m is the object mass and
its initial speed.
When it reaches its maximum height, the object speed is zero and all its kinetic energy converted into gravitational potential energy, which is
where
and h is the maximum height reached by the object.
Since the energy of the object must be conserved, K=U, therefore we can write
and we can solve to find h, the maximum height:
where m is the object mass and
When it reaches its maximum height, the object speed is zero and all its kinetic energy converted into gravitational potential energy, which is
where
Since the energy of the object must be conserved, K=U, therefore we can write
and we can solve to find h, the maximum height:
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Answer:
a) v = 0.0496 m / s , b) v = 0.0957 m / s
Explanation:
a) in this case we have an inelastic collision,
To solve these problems, the most important thing is to define the system formed by all the bodies, so that the forces during the crash have been internal and the amount of movement is conserved.
Therefore the system is made up of the ball and the player
initial instant. Before catching the ball
p₀ = m v₁
final moment. After you have grabbed the ball
= (m + M) v
the moment is preserved
po = p_{f}
m v₁ = (m + M) v
v = m / (m + M) v₁
let's calculate
v = 0.405 / (0.405 + 69) 8.50
v = 0.0496 m / s
in the same direction that the ball takes
b) In this case the ball bounces with a speed of V₂ = -7.80 m / s, the negative sign is because it is going in opposite directions
let's write the moment in two times
initial instant. Before the crash
p₀ = m v₁
try end. Right after the crash
p_{f} = m v₂ + M v
the moment is preserved
p₀ = p_{f}
m v₁ = m v₂ + M v
v = m (v₁ -v₂) / M
v = 0.405 /69 (8.50 - (7.80))
v = 0.0957 m / s
in the initial direction of the ball
Answer:
it yields a derived unit known as Newton, which is the unit of Force.
Explanation:
The formula for force is given by Newton's Second Law, which states that whenever an unbalanced force is applied to a body, it produces an acceleration in the body in the direction of force.
where, F = Force
m = mass
a = acceleration
Now, we substitute the respective S.I units of each quantity in equation:
F = Newton (N)
m = kilogram (kg)
a = acceleration = m/s²
Therefore,
So, it is clear from above expression that:
<u>When kilogram is multiplied by meter per second squared, it yields a derived unit known as Newton, which is the unit of Force.</u>