A wasp accumulates 1.0x10^-14C of charge while flying perpendicular to the earth's magnetic field of 4.0X10^-5T. How fast is the wasp flying if the magnetic force acting on it is 3.0x 10^-16N?
12 m/s
Why did the wasp go to the gym? It wanted to build some "buzz-ceps"!
Now, let's get to the problem at hand. To find the speed of the wasp, we can use the equation for the magnetic force on a charged particle:
F = qvB,
where F is the magnetic force, q is the charge, v is the velocity, and B is the magnetic field. Rearranging this equation gives us:
v = F / (qB).
Plugging in the values, we have:
v = (3.0 x 10^-16N) / (1.0 x 10^-14C) * (4.0 x 10^-5T).
Calculating this gives us:
v = 0.75 m/s.
So, the wasp is flying at a speed of 0.75 meters per second. Just remember, it's not just any speed, it's "wasp-speed"!
To find the speed at which the wasp is flying, we can use the formula for the magnetic force on a moving charged particle. The formula is given by:
F = q * v * B
Where:
F is the magnetic force (given as 3.0x10^-16N),
q is the charge on the wasp (given as 1.0x10^-14C),
v is the velocity of the wasp (what we need to find)
B is the magnetic field strength (given as 4.0x10^-5T).
We can rearrange the formula to solve for v:
v = F / (q * B)
Substituting the values into the formula:
v = (3.0x10^-16N) / ((1.0x10^-14C) * (4.0x10^-5T))
Now, let's calculate the velocity:
v = (3.0x10^-16) / (1.0x10^-14 * 4.0x10^-5)
≈ 7.5 m/s
Therefore, the wasp is flying at a speed of approximately 7.5 m/s.
To find the speed at which the wasp is flying, we can use the equation for the magnetic force on a moving charge:
F = qvB
where:
F is the magnetic force,
q is the charge,
v is the velocity of the charge, and
B is the magnetic field.
Given that the magnetic force acting on the wasp is 3.0x10^-16 N, the charge accumulated by the wasp is 1.0x10^-14 C, and the magnetic field is 4.0x10^-5 T, we can rearrange the formula to solve for the velocity (v):
v = F / (qB)
Substituting the given values into the equation, we have:
v = (3.0x10^-16 N) / ((1.0x10^-14 C)(4.0x10^-5 T))
v = (3.0x10^-16 N) / (4.0x10^-19 C T)
Next, we can simplify the expression:
v = 3.0x10^-16 / 4.0x10^-19
When dividing the numbers in scientific notation, we subtract the exponents:
v = 3.0 / 4.0 x 10^(-16 - (-19))
v = 3.0 / 4.0 x 10^(-16 + 19)
v = 3.0 / 4.0 x 10^3
Now, we can perform the division:
v = 0.75 x 10^3
Finally, we can write the velocity in scientific notation:
v = 7.5 x 10^2 m/s
Therefore, the wasp is flying at a speed of 7.5 x 10^2 m/s.