.If a vector’s direction angle relative to the x axis is 35°, then its direction angle relative to the y axis is 55°. Find the components of a vector A of magnitude 5.2 m in terms of a) its direction relative to the x axis, and b) its direction relative to the y axis. 2. A vector has a magnitude of 2.5 m and points in a direction that is 140° counterclockwise from the x axis. Find the x and y components of this vector. 3. In baseball, a pitcher can accelerate a 0.15-kg ball from rest to 98 mi/h in a distance of 1.7 m. (a) What is the average force exerted on the ball during the pitch? (b) If the mass of the ball is increased, is the force required of the pitcher increased, decreased, or unchanged? Explain. 4. An apple of mass m = 0.13 kg falls from a tree and hits the ground with a speed of v = 14 m/s . (a) What is the magnitude of the force of gravity, mg, acting on the apple? (b) What is the time, t, required for the apple to reach the ground? (c) Show that the force of gravity times the time, mgt, is equal to mv. Be sure to show that the dimensions are in agreement as well as the numerical values
1.If a vector’s direction angle relative to the x axis is 35°, then its direction angle relative to the y axis is 55°. Find the components of a vector A of magnitude 5.2 m in terms of
a) its direction relative to the x axis, and
b) its direction relative to the y axis.
2. A vector has a magnitude of 2.5 m and points in a direction that is 140° counterclockwise from the x axis. Find the x and y
components of this vector.
3. In baseball, a pitcher can accelerate a 0.15-kg ball from rest to 98 mi/h in a distance of 1.7 m. (a) What is the average force exerted on the ball during the pitch? (b) If the mass of the ball is increased, is the force required of the pitcher increased, decreased, or unchanged? Explain.
4. An apple of mass m = 0.13 kg falls from a tree and hits the ground with a speed of v = 14 m/s . (a) What is the magnitude of the force of gravity, mg, acting on the apple? (b) What is the time, t, required for the apple to reach the ground? (c) Show that the force of gravity times the time, mgt, is equal to mv. Be sure to show that the dimensions are in agreement as well as the numerical values
Trending now
This is a popular solution!
Step by step
Solved in 8 steps with 2 images
