Answer:
Explanation:
There will be loss of potential energy due to loss of height and gain of kinetic energy .
loss of height = R - R cos 14 , R is radius of hemisphere .
R ( 1 - cos 12 )
= 13 ( 1 - .978 )
h = .286 m
loss of potential energy
= mgh
= m x 9.8 x .286
= 2.8 m
gain of kinetic energy
1/2 m v ² = mgh
v² = 2 g h
v² = 2 x 9.8 x 2.8
v = 7.40 m /s
Gravity lets all objects fall to the ground at the same speed, 9.8 m/s/s. If the force of gravity were stronger, such as 10 m/s/s, the rate of acceleration would be faster.
3
The amplitude of oscillations has no effect on their time period.
Answer:
2.465Ns;1.76N
Explanation:
From Newton's Second Law:
There is a conservation of Momentum hence:
Momentum before the impact equals that after the impact.
Hence.
1. The Impulse is same as the change in Momentum which is;
0.145 ×17 =2.465Ns { note: 145g in kg is 0.145}
2. From Newton's third Law; force is the rate of change of impulse expressed mathematically as;
F = m×v / t
Where m×v is impulse and t is time given.
F = 2.465/ 1.4 = 1.76N
