Answer:
force at the top will be 388 N which is nearly equal to 389
option (b) is correct
Explanation:
We have given velocity of the moving car v = 10 m/sec
Radius of the circular section r = 30 m
Mass of the passenger m = 60 kg
Acceleration due to gravity 
At the top normal force is given by 
So force at top will be 
So force at the top will be 388 N which is nearly equal to 389
So option (b) is correct
Grav. Potential at surface of the asteroid:
V = - G.Ma./ R
V = (-) 6.67^-11 x 4.0^20kg / 5.7^5m .. .. V = (-) 4.681 *10 ^5 J/kg
The GPE of the package on the asteroid = 9.0kg x (-) 4.681*10^5J/kg = (-) 4.21 ^5
J
This is the amount of energy required to come back the
package to infinity.
The total energy that needs to be transported to the package:
GPE + KE(for 187m/s)
Total energy required E = 4.21*10^5 + (½x 9.0kg x 168²) = 5.48 * 10^5 J
When the required energy is to be complete by releasing a compressed spring,
Elastic PE stored in spring = ½.ke² = 5.48 * 10^5 J where e = compression
distance
e = √ (2 x 5.48*10^5 / 2.1*10^5)
e = 2.28 m
Answer:
Explanation:
First, we will calculate the inductance of the solenoid by using the following formula:
where,
L = self-inductance of solenoid = ?
μ₀ = permeability of free space = 4π x 10⁻⁷ N/A²
A = Cross-sectional area = 30 cm² = 3 x 10⁻³ m²
N = No. of turns = 2000
l = length = 65 cm = 0.65 m
Therefore,
Now, we will use Faraday's law to calculate the rate of change of current:
Answer:
The restoring force is directly proportional to the displacement of the block.
Explanation:
For a spring-mass system, the restoring force is given by Hooke's Law:
F = -kx
where
F is the restoring force
k is the spring constant
x is the displacement of the block, attached to the end of the spring
As we see from the equation, the restoring force is directly proportional to the displacement of the block. So, the correct answer is
The restoring force is directly proportional to the displacement of the block.
