*picture choice question* Which is a renewable resource?
2 answers:
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<h2>The angle of the initial velocity with respect to the horizontal is 85.14°</h2>
Explanation:
Given that the ball takes 3 seconds to reach its maximum height.
Consider the vertical motion of ball till maximum height.
We have equation of motion v = u + at
Acceleration, a = -9.81 m/s²
Final velocity, v = 0 m/s
Time, t = 3 s
Substituting
v = u + at
0 = u + -9.81 x 3
u = 29.43 m/s
Initial vertical velocity is 29.43 m/s.
Now consider horizontal motion of ball.
Time of flight of ball = 2 x Time to reach maximum height = 2 x 3 = 6 s
Displacement = 15 m
We have equation of motion s = ut + 0.5 at²
Displacement, s = 15 m
Acceleration, a = 0 m/s²
Time, t = 6 s
Substituting
s = ut + 0.5 at²
15 = u x 6 + 0.5 x 0 x 6²
u = 2.5 m/s
Initial horizontal velocity is 2.5 m/s
Let r be the initial velocity and θ be the angle with horizontal
Initial vertical velocity = rsinθ = 29.43 m/s
Initial horizontal velocity = rcosθ = 2.5 m/s
Dividing
The angle of the initial velocity with respect to the horizontal is 85.14°
Answer:
Pressure,
Explanation:
A 60 kg acrobat performs a balancing act on a cane. The end of the cane, in contact with the floor, has an area of 0.92 cm2. Calculate the pressure the cane exerts on the floor (neglect the weight of the cane).
We have,
Mass of acrobat, m = 60 kg
The end of the cane, in contact with the floor, has an area of,
It is required to find the the pressure the cane exerts on the floor. Pressure exerted by an object is defined as the force acting per unit its area. Its formula is written as :
So, the pressure the cane exerts on the floor is .