A force is applied to an object of mass 7.23kg such that the object moves according to the equation r 8.45 t .23m) x ­ .23 t .71 t)y . → = ( s 2 m 2 + 5 ˆ + ( 9 s 2 m 2 + 4 s m ˆ (a) What is the magnitude and direction of the object’s velocity at t=5s? (b) What angle is the force being applied to the cart?

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?