Answer:
Fr = 150 [N]
a = 5 [m/s²]
Explanation:
In order to find the resulting force, we must assume that the thrust force is positive to the right, while the friction force is negative to the left.
Now Newton's Second Law tells us that the sum of the forces or the resulting force is equal to the product of mass by acceleration.
F = m*a
The astronaut will take 300 seconds
Explanation:
We can solve this problem by using the law of conservation of momentum.
In fact, the total momentum of the astronaut+object system must be conserved.
Initially, they are both at rest, so their total momentum is zero:
After the astronaut throws the object, their total momentum is:
where:
M = 80 kg is the mass of the astronaut
V is the final velocity of the astronaut
m = 500 g = 0.5 kg is the mass of the object
v = 8.0 m/s is the velocity of the object
Since momentum is conserved, we can write
And solving for V,
Which means that he starts moving at 0.05 m/s in the direction opposite to the object.
Now the astronaut needs to cover a distance of
d = 15.0 m
And his speed is
v = 0.05 m/s
Therefore, the time taken is
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We have that the amount of the charge q is
From the Question we are told that
Force
Velocity
Angle
Magnetic field
Generally, the equation for Force F is mathematically given by
In conclusion
The amount of the charge q is
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