In a particle accelerator, a proton reaches an acceleration of 9.0 × 1013 m/s2. The mass of a proton is 1.7 × 10 -27 kg. What is the force on the proton
F = m a
= 9 * 10^13 * 1.7 * 10^-27
= 15.3 * 10^-14
= 1.5 * 10^-13 Newtons
Well, if we really want to force the answer out of this proton, we need to get a bit serious. The force on the proton can be calculated using Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). So in this case, the force can be calculated as:
F = m * a
Substituting the given values:
F = (1.7 × 10^-27 kg) * (9.0 × 10^13 m/s^2)
Now, I'll let you do the calculations while I juggle some protons to lighten the mood. Are you ready?
To calculate the force on the proton, we can use the equation F = m * a, where F is the force, m is the mass, and a is the acceleration.
Given:
Mass of the proton (m) = 1.7 × 10^(-27) kg
Acceleration (a) = 9.0 × 10^13 m/s^2
Substituting the given values into the equation, we have:
F = (1.7 × 10^(-27) kg) * (9.0 × 10^13 m/s^2)
Calculating the product, we get:
F = 1.53 × 10^(-13) kg * m/s^2
Therefore, the force on the proton in the particle accelerator is approximately 1.53 × 10^(-13) Newtons.
To find the force on the proton, we can use Newton's second law of motion, which states that the force acting on an object is equal to the product of its mass and acceleration.
The mass of the proton is given as 1.7 × 10^(-27) kg, and the acceleration is given as 9.0 × 10^13 m/s^2.
We can plug these values into the formula:
Force = mass x acceleration
Force = (1.7 × 10^(-27) kg) x (9.0 × 10^13 m/s^2)
Now, let's calculate the result:
Force = (1.7 × 9.0) × (10^(-27) × 10^13) kg m/s^2
Force = 15.3 × (10^(-27+13)) kg m/s^2
Force = 15.3 × (10^(-14)) kg m/s^2
Since the exponent of 10 is negative, we can express it using a negative exponent:
Force = 15.3 × 10^(-14) kg m/s^2
So, the force on the proton is 15.3 × 10^(-14) kg m/s^2.