Question

In: Physics

Mario, a hockey player, is skating due south at a speed of 6.35 m/s relative to...

Mario, a hockey player, is skating due south at a speed of 6.35 m/s relative to the ice. A teammate passes the puck to him. The puck has a speed of 8.09 m/s and is moving in a direction of 22.0 ° west of south, relative to the ice. What are (a) the magnitude and (b) direction (relative to due south) of the puck's velocity, as observed by Mario?

Expert Solution

a)

Consider east-west direction along x-axis and north-south direction along y-axis

= velocity of mario relative to ice = 0 i - 6.35 j

= velocity of puck relative to ice = - (8.09 Cos22) i - (8.09 Sin22) j = - 7.5 i - 3.03 j

= velocity of puck relative to mario

velocity of puck relative to mario is given as

= -

= (- 7.5 i - 3.03 j) - (0 i - 6.35 j)

= - 7.5 i + 3.3 j

magnitude is given as

|| = Sqrt((- 7.5)² + (3.3)²)

|| = 8.2 m/s

b)

Direction is given as

= 90 + tan^-1 (3.3/7.5)

= 113.75 deg

genius_generous answered 8 months ago

A (field) hockey player is running north at a speed of 8 m⋅s−1. A ball is...

A (field) hockey player is running north at a speed of 8 m⋅s−1. A ball is coming directly towards her from the north at a speed of 18 m⋅s−1. She swings her stick forward, directly north, at a speed of 6 m⋅s−1 measured in her own frame of reference. What is the speed of the ball with respect to the hockey stick? Relative to the hockey stick, the ball is travelling at ____ m⋅s−1. Jane's brother Andrew leaves home for...

A trooper is moving due south along the freeway at a speed of 33 m/s. At...

A trooper is moving due south along the freeway at a speed of 33 m/s. At time t = 0, a red car passes the trooper. The red car moves with constant velocity of 45 m/s southward. At the instant the trooper's car is passed, the trooper begins to speed up at a constant rate of 1.5 m/s2. What is the maximum distance ahead of the trooper that is reached by the red car? m

A passenger on a moving train walks at a speed of 1.60 m/s due north relative...

A passenger on a moving train walks at a speed of 1.60 m/s due north relative to the train. The passenger's speed with respect to the ground is 4.5 m/s at an angle of 35.0° west of north. What are the magnitude and direction of the velocity of the train relative to the ground? _______m/s direction ______ ° west of north

Two 78.5-kg hockey players skating at 6.47 m/s collide and stick together. If the angle between...

Two 78.5-kg hockey players skating at 6.47 m/s collide and stick together. If the angle between their initial directions was 115 ∘, what is their speed after the collision?

a plane is going East at a speed relative to the air of 160 m/s. a...

a plane is going East at a speed relative to the air of 160 m/s. a 30.0 m/s wind is blowing toward the south while the plane is traveling. The velocity of the plane to a ground observer is:

A 110-kg rugby player is sliding on a muddy field at a speed of 2 m/s...

A 110-kg rugby player is sliding on a muddy field at a speed of 2 m/s toward the right as a 82-kg player is slipping at a speed of 3 m/s toward the left. As the two players collide, they grab onto each other and slide away together as one. What kind of collision was this? Set up the conservation of linear momentum for this collision, and determine the shared velocity (magnitude & direction) of the players immediately after the...

A 0.480-kgkg hockey puck, moving east with a speed of 3.05 m/sm/s , has a head-on...

A 0.480-kgkg hockey puck, moving east with a speed of 3.05 m/sm/s , has a head-on collision with a 0.800-kgkg puck initially at rest. Assuming a perfectly elastic collision, what will be the speed (magnitude of the velocity) of each object after the collision?

A 0.415-kg hockey puck, moving east with a speed of 4.75 m/s, has a head-on collision...

A 0.415-kg hockey puck, moving east with a speed of 4.75 m/s, has a head-on collision with a 0.830-kg puck initially at rest. Part A Assuming a perfectly elastic collision, what will be the speed (magnitude of the velocity) of each object after the collision? Part B What will be the direction of the lighter object after the collision. [ ] West [ ] East Part C What will be the direction of the heavier object after the collision. [...

A bus driver heads south with a steady speed of v1 = 20.0 m/s for t1...

A bus driver heads south with a steady speed of v1 = 20.0 m/s for t1 = 3.00 min, then makes a right turn and travels at v2 = 25.0 m/s for t2 = 2.60 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.60-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of...

A plane has a heading relative to the air of speed 121 m/s and direction 23.5°...

A plane has a heading relative to the air of speed 121 m/s and direction 23.5° East of North. The air is moving relative to the ground with wind speed 49 m/s and direction 33.4° North of West. a) If the plane is flying at an altitude of 5560 m and drops a package directly above a city, what distance away from the city will the package land? (b) If the plane begins a journey from one city to another...