Explanation:
Given that,
Force, 
Position of the particle, 
(a) The toque on a particle about the origin is given by :
Taking the cross product of above two vectors, we get the value of torque as :
(b) Let 
is the angle between r and F. The angle between two vectors is given by :
Answer:
= 3.87 m/s
Explanation:
Since momentum is conserved, momentum right before and after the boy jumps onto the skateboard should be the same.
Initial momentum = momentum of boy = 43.2 x 4.10 = 177 kg·m/s
Final momentum = momentum of boy and skateboard = (43.2 + 2.50) x v = 45.7v
177 = 45.7v
v = 177 / 45.7 = 3.87 m/s
(Hope this helps can I pls have brainlist (crown)☺️)
In physics, the elements in a circuit could involve a resistor-capacitor, resistor-inductor, or just solely their own type of circuit. For a resistor-capacitor or RC circuit, the potential difference or voltage induced between the parallel plates of a capacitor is related by this equation:
Q = C × V, where
Q is charge in Coulombs
C is the capacitance in Faradays
V is the voltage in volts
Substituting the values,
7.7×10⁻³ C = 5.3×10⁻³ F * V
V = 1.45 volts
Answer: 
Explanation:
Hi!
We define the point (0,0) as the intial position of the ball. The initial velocity is 
The motion of the ball in the horizontal direction (x) has constant velocity, because there is no force in that direction. :
In the vertical direction (y), there is the downward acceleration g of gravity:
(note the minus sign of acceleration, because it points in the negative y-direction)
When the ball hits the ground, at t = 65s, y(t = 65 s) = 0. We use this to find the value of the initial vertical velocity:
We used that g = 9.8 m/s²
To find the horizonttal component we use the angle:
