To solve this problem we will apply the concepts of the Magnetic Force. This expression will be expressed in both the vector and the scalar ways. Through this second we can directly use the presented values and replace them to obtain the value of the magnitude. Mathematically this can be described as,


Here,
q = Charge
v = Velocity
B = Magnetic field

Our values are given as,




Replacing,


Therefore the size of the magnetic force acting on the bumble bee is 
Answer: Final temperature of a gold nugget will be 297 K
Explanation:
The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.

q = heat released = -4.85 kJ = -4850 J
m = mass of metal = 376 g
= final temperature of metal = ?
= initial temperature of metal = 398 K
c = specific heat of metal =



Thus the final temperature of a gold nugget will be 297 K
Answer:
We conclude that the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s is 393.75 N.
Explanation:
Given
To determine
We need to determine the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s.
We know a centripetal force acts on a body to keep it moving along a curved path.
We can determine the centripetal force using the formula

where
is the mass
is the velocity
is the radius
is the centripetal force
substitute m = 7, r = 4, and v = 15 in the formula



N
Therefore, we conclude that the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s is 393.75 N.