Answer:
9.7 ms⁻¹
Explanation:
The formula to find the acceleration is :

According to the question, we are asked to find the Final Velocity.
For that, let the Final Velocity be x.







Therefore,
Final velocity = 9.7ms⁻¹
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Answer:
The rate of current in the solenoid is 0.398 A/s
Explanation:
Given that,
Electric field 
Distance = 2.0 cm
Radius = 3.0 cm
Number of turns per unit length = 800
We need to calculate the rate of current
Using formula of electric field for solenoid

Where, x = distance
n = number of turns per unit length
E = electric field
r = radius
Put the value into the formula



Hence, The rate of current in the solenoid is 0.398 A/s.
Answer:
5778.1931
Explanation:
Given that:
Mass (M) = 5.98 x 10^24 kg
Radius (r) = 6.96 x 10^6 m
Gravitational constant (G) = 6.67 * 10^-11
Using the relation:
T² / R³ = 4π² / GM
Where T = period of orbit
T = 2π√(R³ /GM)
T = 2π√((6.96 x 10^6)³) /(6.67 * 10^-11) * (5.98 x 10^24)
T = 2π√((3.37153 * 10^20) / (39.866 * 10^13))
T = 2π √845715.64
T = 2π * 919.62799
T = 5778.1931
Answer:
mag (a) = 0.7707 m/s^2
a = - 0.62963 i - 0.4444 j
Explanation:
Given:
- Force 1 , F_1 = - 12 j
- Force 2, F_2 = - 17 i
- mass of the object m = 27 kg
Find:
What is the acceleration of the object
Solution:
- The relation between the Force vector and the acceleration vector of an object can be given by the Newton's Second Law of motion:
F = m*a
Where a is the acceleration vector.
(-17 i - 12 j ) = m*a
a = (-17 i - 12 j ) / 27
a = - 0.62963 i - 0.4444 j
- The magnitude of the acceleration mag (a) is given by:
mag (a) = sqrt ( (-0.62963)^ 2 + (-0.44444)^2 )
mag (a) = sqrt ( 433/729)
mag (a) = 0.7707 m/s^2