An electron is acted upon by a force of 7.00×10−15 N due to an electric field. Find the acceleration this force produces in each case:
The electron's speed is 1.00 km/s . a=??m/s2
The electron's speed is 2.50×108 m/s and the force is parallel to the velocity.
a=???m/s2
To calculate the acceleration produced by the force, we can use the equation F = ma, where F is the force, m is the mass, and a is the acceleration.
Case 1:
The electron's speed is 1.00 km/s.
To find the acceleration, we need to know the mass of the electron. The mass of an electron is approximately 9.10938356 × 10^-31 kg.
Using the equation F = ma, we can rearrange it to solve for acceleration: a = F / m.
a = (7.00 × 10^-15 N) / (9.10938356 × 10^-31 kg)
a ≈ 7.67 × 10^15 m/s^2
Therefore, the acceleration produced by the force is approximately 7.67 × 10^15 m/s^2.
Case 2:
The electron's speed is 2.50 × 10^8 m/s and the force is parallel to the velocity.
Since the force is parallel to the velocity, it means that the force is acting in the same direction as the electron's motion. In this case, the force is responsible for increasing the electron's speed.
Using the same equation F = ma, we can rearrange it to solve for acceleration: a = F / m.
a = (7.00 × 10^-15 N) / (9.10938356 × 10^-31 kg)
a ≈ 7.67 × 10^7 m/s^2
Therefore, the acceleration produced by the force is approximately 7.67 × 10^7 m/s^2.
To find the acceleration produced by a force acting on an electron, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
1. When the electron's speed is 1.00 km/s and the force is acting due to an electric field:
To find the acceleration, we need to determine the mass of the electron. The mass of an electron is approximately 9.11 x 10^-31 kg. We can use the formula F = m*a, where F is the force acting on the electron, m is the mass of the electron, and a is the acceleration we want to find.
Given that the force acting on the electron is 7.00×10^−15 N, we can rearrange the formula to solve for acceleration:
a = F / m
Plugging in the values, we have:
a = (7.00×10^−15 N) / (9.11 x 10^-31 kg)
Calculating this expression gives us the acceleration in m/s^2.
2. When the electron's speed is 2.50×10^8 m/s and the force is parallel to the velocity:
In this case, since the force is parallel to the velocity, it does not change the magnitude of the electron's speed but only its direction. Hence, the acceleration produced by the force is zero. This implies that the electron will continue to move at a constant speed in a straight line in the same direction as the force.
Therefore, the acceleration produced by the force in this case is 0 m/s^2.
F=ma
a= force/masselelectron
the acceleration acceleration is not dependent on the speed.