A student went to a hill station early in the morning, he could hear the echo of his clap after 0.1 second. When he went to the
1 answer:
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"Fig is attacted with answer"
Answer:
a) d = 33.72 m
b) = 26 m/s
c) β = 71.08°
Explanation:
a)
When an object is thrown into the air under the effect of the gravitational force, the movement of the projectile is observed. Then it can be considered as two separate motions, horizontal motion and vertical motion. Both motions are different, so that they can be handled independently.
Given data:
time = t = 4.00 s
Height = h = 20 m
Angle = θ = 60°
Horizontal distance = d = ?
Using 2nd equation of motion
-20 = (4) + 0.5(-9.8)(4)²
(4) = 58.4
= 14.6 m/s
This is vertical component of velocity when the ball is on the roof. To calculate the Final velocity and horizontal component, we use
=
/ sinθ
= 14.6 / sin 60
= 16.86 m/s
=
cosθ
= 16.86 cos 60
= 8.43 m/s
To calculate the horizontal distance
d = t
d = (8.43)(4)
d = 33.72 m
b)
We know the values of Landing angle, height of roof, time of flight. In part a, We calculate the landing velocity of the ball and also its horizontal and vertical component. As the ball followed the projectile path, and we know that in projectile motion the horizontal component of the velocity remain constant throughout his motion. So there is no acceleration along horizontal path.
So,
=
but the vertical component of velocity vary with and there is an acceleration along vertical direction which is equal to gravitation acceleration g.
So,
g = ( -
) / t
9.8 = 14.6 - ) / 4
= 24.6 m/s
=
=
= 26 m/s
c)
cos β = /
β = cos⁻¹ (8.43 / 26)
β = 71.08°
Answer: 21965.517 Pa
Explanation:
Pressure is the force
exerted by a gas, a liquid or a solid on a surface (or area)
, its unit is Pascal
which is equal to
and its formula is:
(1)
In this case we have the surface of a sole of a tennis shoe:
(2)
And the mass of the person who wears it:
On the other hand, we know the weight is the force the Earth exerts on people and objects due gravity
:
(3)
Substituting (2) and (3) in (1):
(4)
Finally:
This is the pressure the shoe exert on the ground