A ball is thrown at 609 cm/s perpendicular to the direction of RipStik traveling at 346 cm/s as seen in the diagram. V⃑ground = v⃑ball + w⃑ripstik
__________ î + _________ ĵ Write the resultant vector of V⃑ground in unit vector form.
__________ Calculate the direction angle θ for V⃑ground in degrees.
__________ Calculate the magnitude for V⃑ground.
____________ The force vector for Jaeger Striker Eureka's right lead helicopter is given by = -120î + 140ĵ. Calculate the angle to the vertical θ in degrees.
____________ Calculate the magnitude of the vector = -120î + 140ĵ.
For the vector =
260 î + 150 ĵ
magnitude = __________ Calculate the magnitude.
θ = __________ Calculate the direction angle in degrees.
A vector with a magnitude of 100 is at a direction angle of 67° to the horizontal. Write the vector in î, ĵ component form.
=
________ î + ________ ĵ
A vector u⃑ with a magnitude of 40 and a direction angle of 30° is added to a vector v⃑ with a magnitude of 50 and a direction angle of 60°. Determine the magnitude and direction angle in degrees for the vector u⃑ + v⃑.
magnitude u⃑ + v⃑ = __________ Calculate the magnitude.
θ = __________ Calculate the direction angle for u⃑ + v⃑ in degrees.
Do NOT try at home: Child towing a RipStik with a bicycle
__________ Shana is towing Marlin with a force of 100 Newtons at an angle of 30° to the horizontal for a distance of 20 meters. Calculate the energy (work done) using the dot product.
__________ Shana is towing Marlin with a force of 100 Newtons at an angle of 30° to the horizontal. The length of the lever arm d for the torque is 0.8 meters (the distance from the nose of the RipStik to the rear wheel). Calculate the torque on the RipStik using the cross product.